That is a pain when they are scratched. That is why when I get mine back from the grader I put them right in a team bag and seal it up. I am not aware of anything you can use on those cases to get the scratches out. They are soft so I wouldn't put any type of solvent on it. Instead, I know that you can go to a place that sells eyeglasses and they sell a plastic filler for people who get scratches in their plastic lenses. A friend of mine had some terrible scratches in her eyeglasses and they told her to buy it and it took the scratches right out to where they are no longer visible.

Currently collecting A-Rod, Jeter, Cano, Mauer and Trout. I tend to be a fast shipper, work across the street from our post office.